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Finding the Fourth Proportional to 5,201, 7,180.82 and 3,214.47

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Solution

The fourth proportional to 5,201, 7,180.82 and 3,214.47 is: 4,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201 : 7,180.82 = 3,214.47 : x
  2. Step 2: Convert to fraction form
    5,201/7,180.82 = 3,214.47/x
  3. Step 3: Cross multiply
    5,201x = 7,180.82 × 3,214.47
  4. Step 4: Simplify right side
    5,201x = 23,082,530.47
  5. Step 5: Solve for x
    x = 23,082,530.47/5,201
  6. Step 6: Final answer
    x = 4,438.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.